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A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, the room along with some small tables. When filled the large table seats 15 people and the small tables each seat 5 people.Which of the following graph represents the number of small tables that can be filled when the large table is also filled?

Answer :

[tex]\begin{gathered} \text{let:} \\ x=\text{large tables} \\ y=\text{small tables} \end{gathered}[/tex]

A building code allows a maximum of 140 people in a meeting room, so:

[tex]15x+5y\le140[/tex][tex]\begin{gathered} \text{ There is one large table, so:} \\ x=1 \\ 15+5y\le140 \\ \text{Solve for y:} \\ 5y\le140-15 \\ 5y\le125 \\ y\le\frac{125}{5} \\ y\le25 \end{gathered}[/tex]

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